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226226433627 = 33127431153073
BaseRepresentation
bin1101001010110000100…
…1010110111001011011
3210121221002221112222000
43102230021112321123
512201302431334002
6251532121332043
722226046646425
oct3225411267133
9717832845860
10226226433627
1187a3aa18a37
1237a16937023
131844397375c
14ad412b9815
155d40b5461c
hex34ac256e5b

226226433627 has 32 divisors (see below), whose sum is σ = 338575196160. Its totient is φ = 149281937280.

The previous prime is 226226433583. The next prime is 226226433637. The reversal of 226226433627 is 726334622622.

226226433627 is a `hidden beast` number, since 2 + 26 + 2 + 264 + 3 + 362 + 7 = 666.

It is not a de Polignac number, because 226226433627 - 215 = 226226400859 is a prime.

It is a super-3 number, since 3×2262264336273 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (226226433637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401363 + ... + 1554435.

It is an arithmetic number, because the mean of its divisors is an integer number (10580474880).

Almost surely, 2226226433627 is an apocalyptic number.

226226433627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

226226433627 is a deficient number, since it is larger than the sum of its proper divisors (112348762533).

226226433627 is a wasteful number, since it uses less digits than its factorization.

226226433627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153640 (or 153634 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 226226433627 in words is "two hundred twenty-six billion, two hundred twenty-six million, four hundred thirty-three thousand, six hundred twenty-seven".

Divisors: 1 3 9 27 127 381 431 1143 1293 3429 3879 11637 54737 153073 164211 459219 492633 1377657 1477899 4132971 19440271 58320813 65974463 174962439 197923389 524887317 593770167 1781310501 8378756801 25136270403 75408811209 226226433627